Internal Forces and Moments in Beams
A beam is a structural element like the truss member but, unlike…
Internal Forces in Members of a Truss Structure
We are ready to start talking business, to buy a loaf of…
Static Equilibrium Force and Moment
The correct response is zero: For a particle at rest, or moving…
Equations of motion of linear elastic bodies
The final equations of the purely mechanical theory of linear elasticity (i.e.,…
Finite elastic deformations
When elastic response under arbitrary deformation gradients is considered—because rotations, if not…
Thermodynamic considerations
In thermodynamic terminology, a state of purely elastic material response corresponds to…
Thermal strains
Temperature change can also cause strain. In an isotropic material the thermally…
Stress-strain relations
Linear elastic isotropic solid The simplest type of stress-strain relation is that…
Finite deformation and strain tensors
In the theory of finite deformations, extension and rotations of line elements…
Small-strain tensor
The small strains, or infinitesimal strains, εij are appropriate for situations with…


